Search a number
-
+
13326560 = 2551343149
BaseRepresentation
bin110010110101…
…100011100000
3221002001121022
4302311203200
511402422220
61153345012
7221162642
oct62654340
927061538
1013326560
117582495
124568168
1329b7a50
141aac892
151283925
hexcb58e0

13326560 has 96 divisors (see below), whose sum is σ = 34927200. Its totient is φ = 4773888.

The previous prime is 13326557. The next prime is 13326571. The reversal of 13326560 is 6562331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89366 + ... + 89514.

It is an arithmetic number, because the mean of its divisors is an integer number (363825).

Almost surely, 213326560 is an apocalyptic number.

13326560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17463600).

13326560 is an abundant number, since it is smaller than the sum of its proper divisors (21600640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13326560 is a wasteful number, since it uses less digits than its factorization.

13326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 13326560 is about 3650.5561220176. The cubic root of 13326560 is about 237.0860601248.

Adding to 13326560 its reverse (6562331), we get a palindrome (19888891).

The spelling of 13326560 in words is "thirteen million, three hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 65 80 86 104 130 149 160 172 208 215 260 298 344 416 430 520 559 596 688 745 860 1040 1118 1192 1376 1490 1720 1937 2080 2236 2384 2795 2980 3440 3874 4472 4768 5590 5960 6407 6880 7748 8944 9685 11180 11920 12814 15496 17888 19370 22360 23840 25628 30992 32035 38740 44720 51256 61984 64070 77480 83291 89440 102512 128140 154960 166582 205024 256280 309920 333164 416455 512560 666328 832910 1025120 1332656 1665820 2665312 3331640 6663280 13326560